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Finding the Fourth Proportional to 1,567.91, 2,341.41 and 1,476.78

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Solution

The fourth proportional to 1,567.91, 2,341.41 and 1,476.78 is: 2,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.91 : 2,341.41 = 1,476.78 : x
  2. Step 2: Convert to fraction form
    1,567.91/2,341.41 = 1,476.78/x
  3. Step 3: Cross multiply
    1,567.91x = 2,341.41 × 1,476.78
  4. Step 4: Simplify right side
    1,567.91x = 3,457,746.31
  5. Step 5: Solve for x
    x = 3,457,746.31/1,567.91
  6. Step 6: Final answer
    x = 2,205.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.